Localized shocks

We study products of precursors of spatially local operators, W[subscript xn](tn)⋅⋅⋅W[subscript x1](t[subscript 1]), where W [subscript x] (t) = e [superscript − iHt] W [subscript x] e [superscript iHt]. Using chaotic spin-chain numerics and gauge/gravity duality, we show that a single precursor fil...

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Bibliographic Details
Main Authors: Stanford, Douglas (Author), Susskind, Leonard (Author), Roberts, Daniel Adam (Contributor)
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics (Contributor), Massachusetts Institute of Technology. Department of Physics (Contributor)
Format: Article
Language:English
Published: Springer-Verlag, 2015-06-03T13:20:33Z.
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Online Access:Get fulltext
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100 1 0 |a Stanford, Douglas  |e author 
100 1 0 |a Massachusetts Institute of Technology. Center for Theoretical Physics  |e contributor 
100 1 0 |a Massachusetts Institute of Technology. Department of Physics  |e contributor 
100 1 0 |a Roberts, Daniel Adam  |e contributor 
700 1 0 |a Susskind, Leonard  |e author 
700 1 0 |a Roberts, Daniel Adam  |e author 
245 0 0 |a Localized shocks 
260 |b Springer-Verlag,   |c 2015-06-03T13:20:33Z. 
856 |z Get fulltext  |u http://hdl.handle.net/1721.1/97174 
520 |a We study products of precursors of spatially local operators, W[subscript xn](tn)⋅⋅⋅W[subscript x1](t[subscript 1]), where W [subscript x] (t) = e [superscript − iHt] W [subscript x] e [superscript iHt]. Using chaotic spin-chain numerics and gauge/gravity duality, we show that a single precursor fills a spatial region that grows linearly in t. In a lattice system, products of such operators can be represented using tensor networks. In gauge/gravity duality, they are related to Einstein-Rosen bridges supported by localized shock waves. We find a geometrical correspondence between these two descriptions, generalizing earlier work in the spatially homogeneous case. 
520 |a American Society for Engineering Education. National Defense Science and Engineering Graduate Fellowship 
520 |a Hertz Foundation 
520 |a National Science Foundation (U.S.) (Grant 0756174) 
520 |a National Science Foundation (U.S.) (Grant PHYS-1066293) 
520 |a United States. Dept. of Energy (Contract DE-SC00012567) 
546 |a en_US 
655 7 |a Article 
773 |t Journal of High Energy Physics